5 10/29

1. New: 9.3.6 Old: 8.3.6

2. New: 9.4.18 Old: 8.4.18 Also accurately draw the conic in the $x_1,x_2$-plane.

3. New: 9.2.5 Old: 8.2.5. Write the transformation matrix from the original Cartesian coordinate system to the coordinate system that uses the eigenvectors as basis. Give formulae that compute the Cartesian coordinates (multiplying the Cartesian basis vectors) in terms of the ``new'' coordinates multiplying the eigenvectors. Also give the formulae that work vice-versa.

4. New: 9.1.4 Old: 8.1.4. Redux. Solve the system $\dot{\vec x}=A\vec x$ and draw typical solution curves in the $x_1$, $x_2$ plane.